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Finding the Fourth Proportional to 2,218.66, 3,061.94 and 1,224.13

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Solution

The fourth proportional to 2,218.66, 3,061.94 and 1,224.13 is: 1,689.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,218.66 : 3,061.94 = 1,224.13 : x
  2. Step 2: Convert to fraction form
    2,218.66/3,061.94 = 1,224.13/x
  3. Step 3: Cross multiply
    2,218.66x = 3,061.94 × 1,224.13
  4. Step 4: Simplify right side
    2,218.66x = 3,748,212.61
  5. Step 5: Solve for x
    x = 3,748,212.61/2,218.66
  6. Step 6: Final answer
    x = 1,689.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.